Question:

In a certain code language, the word "REASON" is encoded as TDDQSK. Using the same rule, how is the word PRAYER coded?

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To decode or encode words, identify the pattern in letter shifts and apply the same rule to the given word.
Updated On: Oct 7, 2025
  • RTBXCT
  • RQDWIO
  • SSAYDU
  • RQDZCU
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The Correct Option is B

Solution and Explanation

We are given that "REASON" is encoded as "TDDQSK". Let's analyze the pattern used for encoding: \[ \begin{array}{|c|c|} \hline \text{Letter} & \text{Code Letter}
\hline R & T (\text{Shifted +2})
E & D (\text{Shifted -1})
A & D (\text{Shifted +3})
S & Q (\text{Shifted -2})
O & S (\text{Shifted +4})
N & K (\text{Shifted -3})
\hline \end{array} \] The shifting pattern alternates: +2, -1, +3, -2, +4, -3. Now, applying the same rule to "PRAYER": \[ \begin{array}{|c|c|} \hline \text{Letter} & \text{Code Letter}
\hline P & R (\text{Shifted +2})
R & Q (\text{Shifted -1})
A & D (\text{Shifted +3})
Y & W (\text{Shifted -2})
E & I (\text{Shifted +4})
R & O (\text{Shifted -3})
\hline \end{array} \] Thus, "PRAYER" is encoded as "RQDWIO", corresponding to option (b).
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